TSTP Solution File: RNG026-7 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG026-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:57:19 EDT 2024
% Result : Unsatisfiable 0.44s 1.13s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 12 RR)
% Number of literals : 24 ( 23 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product2) ).
cnf(c_52,plain,
add(multiply(X0,X1),additive_inverse(multiply(X0,X2))) = multiply(X0,add(X1,additive_inverse(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_of_difference1) ).
cnf(c_56,negated_conjecture,
add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_teichmuller_identity) ).
cnf(c_58,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',right_additive_identity) ).
cnf(c_61,plain,
add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_additive_inverse) ).
cnf(c_62,plain,
add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',right_additive_inverse) ).
cnf(c_65,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',distribute2) ).
cnf(c_66,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',commutativity_for_addition) ).
cnf(c_67,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',associativity_for_addition) ).
cnf(c_70,plain,
add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = associator(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',associator) ).
cnf(c_91,negated_conjecture,
add(associator(a,b,multiply(c,d)),add(additive_inverse(add(multiply(a,associator(b,c,d)),add(multiply(associator(a,b,c),d),associator(a,multiply(b,c),d)))),associator(multiply(a,b),c,d))) != additive_identity,
inference(theory_normalisation,[status(thm)],[c_56,c_67,c_66]) ).
cnf(c_92,plain,
add(X0,additive_inverse(X0)) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_61,c_67,c_66]) ).
cnf(c_93,plain,
add(additive_inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),X2)) = associator(X0,X1,X2),
inference(theory_normalisation,[status(thm)],[c_70,c_67,c_66]) ).
cnf(c_141,plain,
add(add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),multiply(multiply(a,b),multiply(c,d))),add(additive_inverse(add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))),add(multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(multiply(a,multiply(b,c)),d))))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),multiply(multiply(multiply(a,b),c),d)))) != additive_identity,
inference(demodulation,[status(thm)],[c_91,c_93]) ).
cnf(c_149,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(multiply(a,multiply(b,c)),d),add(multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))))))))))) != additive_identity,
inference(theory_normalisation,[status(thm)],[c_141,c_67,c_66]) ).
cnf(c_190,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))),multiply(add(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),multiply(a,multiply(b,c))),d)))),additive_identity))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_149,c_92,c_65,c_67,c_66]) ).
cnf(c_191,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_identity),d),multiply(a,add(add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d)),additive_inverse(multiply(multiply(b,c),d)))))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_190,c_58,c_52,c_92,c_67,c_66]) ).
cnf(c_192,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),additive_identity)))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_191,c_92,c_58,c_67,c_66]) ).
cnf(c_193,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),multiply(a,additive_inverse(multiply(b,multiply(c,d)))))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_192,c_58,c_67,c_66]) ).
cnf(c_194,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(a,additive_inverse(multiply(b,multiply(c,d)))),multiply(multiply(multiply(a,b),c),d))))) != additive_identity,
inference(theory_normalisation,[status(thm)],[c_193,c_67,c_66]) ).
cnf(c_195,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),multiply(multiply(multiply(a,b),c),d))))) != additive_identity,
inference(demodulation,[status(thm)],[c_194,c_51]) ).
cnf(c_738,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_67,c_62]) ).
cnf(c_1032,plain,
additive_identity != additive_identity,
inference(demodulation,[status(thm)],[c_195,c_738]) ).
cnf(c_1033,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1032]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : RNG026-7 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 21:55:00 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.44 Running UEQ theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.44/1.13 % SZS status Started for theBenchmark.p
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13
% 0.44/1.13 ------ iProver source info
% 0.44/1.13
% 0.44/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13 git: non_committed_changes: false
% 0.44/1.13
% 0.44/1.13 ------ Parsing...successful
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sup_sim: 5 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.44/1.13 ------ Proving...
% 0.44/1.13 ------ Problem Properties
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses 20
% 0.44/1.13 conjectures 0
% 0.44/1.13 EPR 0
% 0.44/1.13 Horn 20
% 0.44/1.13 unary 20
% 0.44/1.13 binary 0
% 0.44/1.13 lits 20
% 0.44/1.13 lits eq 20
% 0.44/1.13 fd_pure 0
% 0.44/1.13 fd_pseudo 0
% 0.44/1.13 fd_cond 0
% 0.44/1.13 fd_pseudo_cond 0
% 0.44/1.13 AC symbols 1
% 0.44/1.13
% 0.44/1.13 ------ Input Options Time Limit: Unbounded
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------
% 0.44/1.13 Current options:
% 0.44/1.13 ------
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Proving...
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13
% 0.44/1.13
%------------------------------------------------------------------------------